Atkin-Lehner |
3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33165o |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5091840 |
Modular degree for the optimal curve |
Δ |
-3.0420430208819E+22 |
Discriminant |
Eigenvalues |
2 3- 5- 4 11+ -6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1315023,8371425577] |
[a1,a2,a3,a4,a6] |
Generators |
[170186678150:-12652123590877:34645976] |
Generators of the group modulo torsion |
j |
344981836779052322816/41728985197282986075 |
j-invariant |
L |
13.035296020652 |
L(r)(E,1)/r! |
Ω |
0.090271919733866 |
Real period |
R |
18.050042664267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11055b1 |
Quadratic twists by: -3 |